Hudson and his children went into a bakery where they sell cupcakes for $4.75 each and brownies for $2 each. Hudson has $30 to spend and must buy at least 7 cupcakes and brownies altogether. If z represents the number of cupeakes purchased and y represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution. Inequality 1: yB plot ade Inequality 2: y 8 plat
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- There is some evidence that, in the years 1981— 85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6 pp. 320— 35, 1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.76%, with a standard deviation of 0.12%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a)According to Chebyshev's theorem,…There is some evidence that, in the years−198185, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v. 6, pp.−32035,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.86 %, with a standard deviation of 0.10%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. According to Chebyshev's theorem, at least 84%…There is some evidence that, in the years −198185 , a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v. 6 , pp. −32035,1987 .) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.89 %, with a standard deviation of 0.16 %. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a)…
- 43. The U.S. government wants to determine whetherimmigrants should be tested for a contagious disease,and it is planning to base this decision on financialconsiderations. Assume that each immigrant who isallowed to enter the United States and has the diseasecosts the country $100,000. Also, assume that eachimmigrant who is allowed to enter the United Statesand does not have the disease will contribute $10,000to the national economy. Finally, assume that x percentof all potential immigrants have the disease. The U.S.government can choose to admit all immigrants, admitno immigrants, or test immigrants for the diseasebefore determining whether they should be admitted. Itcosts T dollars to test a person for the disease, and thetest result is either positive or negative. A person who does not have the disease always tests negative. However, 10% of all people who do have the disease testnegative. The government’s goal is to maximize theexpected net financial benefits per potential…There is some evidence that, in the years 1981-85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320-35,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.87 %, with a standard deviation of 16 %. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a) According to Chebyshev's theorem, at least…2.43 In the 2009 stress tests applied to the nation’s biggest banks, the U.S. government determined that 10 of them needed a greater cushion of capital in order to absorb losses in a worst-case economic scenario. The banks, the bailout they received, and the additional cushion they were deemed to need are as shown below. Source: “Bank Stress-Test Results,” USA Today, May 8, 2009, p. 3B. x = Bailout y = Added Cash Bank Received Cushion Needed Bank of America $45.0 billion $33.9 billion Wells Fargo 25.0 13.7 GMAC 5.0 11.5 Citigroup 50.0 5.5 Regions 3.5 2.5 SunTrust 4.9…
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- Suppose that a healthy person has 10% chance of getting sick that would require $40,000 of medical expenses. Suppose that unhealthy person has a 60% chance of getting sick that would require $100,000 in medical expenses. A) What would be an actuarially fair premium for a healthy person? B) What would be an actuarially fair premium for unhealthy person? C) If everyone has to buy health insurance and 20% of the population are unhealthy and 80% of the population are health, what would be an actuarially fair premium for any person?There is some evidence that, in the years−198185, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Sciencev. 6, pp.−32035,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.82%, with a standard deviation of 0.13%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. a) According to Chebyshev's theorem, at least 56%…A multinational corporation is considering starting a subsidiary in an Asiancountry. Management realizes that the success of the new subsidiary depends, in part,on the ensuing political climate in the target country. Management estimates that theprobability of success (in terms of resulting revenues of the subsidiary during its firstyear of operation) is 0.55 if the prevailing political situation is favorable, 0.30 if thepolitical situation is neutral, and 0.10 if the political situation during the year is unfavorable. Management further believes that the probabilities of favorable, neutral, andunfavorable political situations are 0.6, 0.2, and 0.2, respectively. What is the successprobability of the new subsidiary?